JNK 111/3 - Mekanik Bendalir I

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1 UNIVERSITI SAINS MALAYSIA Peperiksaan Semester Kedua Sidang Akademik 2002/2003 Februari / Mac 2003 JNK 111/3 - Mekanik Bendalir I Masa : 3 jam ARAHAN KEPADA CALON Sila pastikan bahawa kertas soalan ini mengandungi ENAM(6) mukasurat dan TUJUH(7) soalan yang bercetak serta SATUM halaman lampiran sebelum anda memulakan peperiksaan. Sila jawab LIMA(5) soalan sahaja. Lampiran 1. Properties of common liquids at 1 atm and 20 C [1 mukasurat] Setiap soalan mestilah dimulakan pada mukasurat yang baru. Serahkan KESELURUHAN soalan dan jawapan kertas peperiksaan ini kepada Ketua Pengawas di akhir sidang peperiksaan. Pelajar yang gagal berbuat demikian akan diambil tindakan disiplin. KETUA PENGAWAS : Sila pungut KESELURUHAN kertas soalan ini (tanpa diceraikan mana-mana muka surat) dan mana-mana kertas soalan peperiksaan ini yang berlebihan untuk dikembalikan kepada Bahagian Peperiksaan, Jabatan Pendaftar, USM. Peringatan 1. Sila pastikan bahawa anda telah menulis angka giliran dengan betul.

2 Apakah Sl. [a] perbezaan diantara tekanan di dalam buih sabun dengan tekanan atmosfera bagi garis pusat buih 8.0 mm? Andaikan ketegangan permukaan buih sabun bernilai 80% daripada nilai yang sama bagi air pada suhu 20 C. What is the difference between the pressure inside a soap bubble and atmospheric pressure for a 8.0 mm diameter bubble? Assume the surface tension ofthe soapfilm to be 80% ofthat ofwater at 20 C (30 markah) Sekiranya sebatang tiub kecil yang terbuka di kedua-dua hujung, di celupkan ke dalam cecair, paras cecair didalam tiub tersebut akan bertambah. Dengan bantuan lakaran yang baik, dapatkan persamaan menunjukan kenaikan paras cecair dalam tiub tersebut. Ifafine tube, open at both ends, is lowered vertically into a liquid which wets the tube, the level of the liquid will rise in the tube. With the aid of neat sketches derive an expressionfor the rise in the level ofthe liquid in the tube. (30 markah) [c] Hitung kenaikan tinggi turus cecair (dalam unit millimeter) di dalam sebatang tiub gelas bergaris pusat 5 mm. apabila di celup ke dalam!) air dan ii) raksa. Anggap nilai tegangan permukaan air dengan udara sebagai 0.06N/m dan untuk raksa sebagai 0.5 N/m. Sudut sentuh bag! air adalah sifar darjah dan bagi raksa adalah 120. Calculate the capillary rise in millimetres, in a glass tube of S mm diameter when immersed in i) water and ii) mercury. The value ofsurface tension of water in contact with air can be taken as 0.06 Nlm andfor mercury as 0.SNIM. The angle ofcontact ofwater is zero degree and that ofmercury is 120. S2. [a] Sebuah U-tube terbalik seperd di dalam Rajah S2[a] di gunakan untuk mengukur perbezaan tekanan di antara titik A dan B yang terdapat pada likaran paip condong mengandungi air. Ketinggian aras adalah : h = 0.3 m, a = 0.4 m dan b = 0.2 m. Kira perbezaan tekanan di antara titik A dan B jika manometer di isi i) ethyl alcohol pada 20 C, dan ii) minyak yang mempunyai ketumpatan badingan 0.9. An inverted U-tube of the form shown in Fig. Q2[a] is used to measure the pressure difference between two points A and B in an inclined pipeline through which water isflowing. The difference oflevel is : h= 0.3 m, a=0.4 m and b=0.2 m. Calculate the pressure difference between point A and B ifthe top of the manometer is filled with i) ethyl alcohol at 20 C, and ii) oil of relative density of0.9

3 Rajah S2[a] Figure S2faJ Sebnah manometer di hubungkan pada sebuah tangki mengandungi tiga bendalir berlainan seperti ditunjukkan di dalam Rajah S2. Kira ke tinggian h di dalam turns raksa di BC. Apakah ketinggian h tersebnt jika air di gunakan di dalam manometer pengganti raksa. A manometer attached to a tank containing three differentfluids as shown in Fig. Q2N. Determine the height, h in the mercury column at BC. What would the height, h be ifwater was used in the manometer instead ofmercury? Rajah S2 Figure S2

4 S3. [a] Pintu air sluis di dalam Rajah S3[a] terbentuk dari seperempat bulatan, 8m lebar. Selesaikan persamaan bahagian komponen lintang (mengufuk) dan tegak, daya hidrostatik pada pintu tersebut dan tentukan kedudukan pusat tekanan, cp dimana daya panduan bertindak. Kira daya, F yang perlu untuk menutup pintu tersebut. The sluice gate in Fig. Q3[a] is a quarter-circle 8 m wide into the paper. Determine the horizontal and vertical components ofhydrostaticforce against the gate and the centre ofpressure point, cp where the resultant strikes the gate. Calculate theforce, F which will be required to hold the gate close. ~~rrrr r rrrrrirrirriirirr,,irrrrrrrrrirr rrrirrrrririrrrrri~ Rajah S3[a] Figure Q3[a] Anggarkar ketebalan lapisan sempadan dalam arus bendalir di penghujung permukaan rata sepanjang 3 m. sekiranya halaju arus bebas adalah 3 m/s dan menggunakan udara atmosfera bersuhu 20 *C. Juga tentukan nilai pekali seretan. Estimate the boundary layer thickness ofa flow at the end ofa 3 m longflat surface ifthefree stream velocity is 3 m/s and using atmospheric air at 20 C. Also determine the skinfriction coefficient. S4. [a] Namakan tiga peralatan yang boleh digunakan bagi menentukan kadar aliran di dalam paip. Terangkan secara terperinci salah satu daripadanya dengan formula. ~r Name some 3 instruments that are used to determine the flow rate in a pipe. Describe in detail one ofthem withformula

5 Udara mengalir melalui saluran berdiameter 0.08 mm di dalam paruparu manusia pada kadar 10-9 m3/s. Adakah aliran berkenaan lamina atau gelora? Sokong jawapan anda dengan pengiraan yang sesuai. Andaikan tekanan piawai ialah 101 kpa dan suhu 15 C. Air flows through a 0.08 mm diameter passageway in a person's lungs at a rate of 10"9 m3 /s.is the flow laminar or turbulent? Support your answer with appropiate calculations. Assume standard pressure 101 kpa and temperature 150C (60 markah) S5. [a] Bezakan ungkapan-ungkapan berikut dengan contoh (i) (li) (iv) aliran boleh mampat dan aliran tak boleh mampat bendalir Newtonian dan tak-newtonian Aliran mantap dan tak mantap Lamina dan gelora Differentiate thefollowing with examples: (i) (ii) (iii) (iv) Compressible and incompressible flow Newtonian and non-newtonianfluid Steady and un-steadyflow Laminar/Turbulentflow Minyak SAE 10 berketumpatan 869 kg/m3 dan kelilkatan dinamik 8.14 E-2 Ns/m 2 mengalir melalui paip besi tuangan pada halaju 1.0 m/s. Panjang paip berkenaan ialah 45m dan berdiameter 150 mm. Kirakan kehilangan hulu disebabkan oleh geseran. SAE 10 oil with density of869 kg /m 3 and dynamic viscosity 8.14 E -2 Ns/m 2 flows through a cast iron pipe at a velocity of 1.0 m/s. The pipe is 45 m long and has a diameter of150 mm.determine head loss due tofriction (60 markah) S6. [a] Namakan tiga faktor penting yang mempengaruhi daya angkat dan daya seret bagi sesuatu jasad? Name three importantfactors on which lift and drag ofa body depend? Give some methods used to reduce the drag ofan automobile car.

6 Sebush kereta moden bergaris arus mempunyai pekali seret 0.40 dan luas permukaan hadapan 2.0 m2. Kereta berkenaan bergerak pada kelajuan 90 km/jam dan suhu persekitaran 20 C. Kirakan daya geseran dan kehilangan kuasa bagi mengatasi seretan. A modern streamlined car has a drag coefficent of0.40 and thefrontal area of the car is 2.0 m2 :The car travels at 90 km /h and the ambient temperature is 20 C. Calculate the dragforce andpower loss to overcome drag (60 msrkah) S7. [a] Tskrifkan kuantiti-kuantiti tak berdimensi berikut dsn terangkan kepentingan masing-masing ; (i) (ii) (iii) nombor Reynolds nombor Froude nombor Mach Define thefollowing dimensionless quantities and explain their significance: (i) Reynold's no. (ii) Froude no. (iii) Mach no. (40 msrkah) Sebush kereta bergerak di atas jalan raya pada kelajuan 60 km/jam. Model kereta berkenaan dalam skala 1:5 diuji di dalam terowong angin. Tentukan halain terowong angin. Bagi kelajuan terowong angin yang sama tentukan daya seret yang bertindak ke atas kereta, jika luas permukaan hadapan bagi prototaip ialah 2.0 m2. Andaikan ketumpatan udara ialah 1.2 kg/m3dan pekali seret ialah 0.28 An automobile runs on the road at 60 km /h. A model ofthe car to a scale of 1:5 is tested in a wind tunnel. Determine the wind tunnel speed. For the same speed of the wind tunnel determine the dragforce acting on it if the frontal area of the prototype is 2.0 m 2. Assume the density of air is 1.2 kglm 2 and drag coefficient is 0.28 (60 markah)

7 (JNK 111/31 LAMPIRAN Properties of common liquids at 1 atm and 20 C Liquid p, kg/m 3 ft, kg/(m - s) ts!, N/m* po, N/m2 N/m= Bulk modulus, In contact with air. Viscosity parameter C Ammonia E E E Benzene E E E E Carbon tetrachloride E E E E Ethanol E E E E Ethylene glycol E E-2 12 E Freon E Gasoline E E E+4 "9.58 E Glycerin 1?fi E E E Kerosine E E E E Mercury E E E-3 2S5 E+LO 1.07 Methanol E E Ě E f' SAE IOW oil E-1= 3.6 E E SAE IOW30 oil E-I= SAE 30W oil E-1= 3S E E " SAE SOW oil E-1" - - _ : r! Water E E E+3 ~ 219 E+9 Table A.1 Seawater (30 co E E E+3 ' 2.33 Ě

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